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Finding the Fourth Proportional to 259,203.25, 388,827.15 and 72,214.75

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Solution

The fourth proportional to 259,203.25, 388,827.15 and 72,214.75 is: 108,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,203.25 : 388,827.15 = 72,214.75 : x
  2. Step 2: Convert to fraction form
    259,203.25/388,827.15 = 72,214.75/x
  3. Step 3: Cross multiply
    259,203.25x = 388,827.15 × 72,214.75
  4. Step 4: Simplify right side
    259,203.25x = 28,079,055,430.46
  5. Step 5: Solve for x
    x = 28,079,055,430.46/259,203.25
  6. Step 6: Final answer
    x = 108,328.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.